Answer:
The solution is -22
Step-by-step explanation:
The solution of an equation is the value of the variable of the equation
∵ -(4x - 3) = -7(9 + x)
→ Simplify each side
∵ -(4x) - -(3) = -7(9) + -7(x)
∴ (-4x) - (-3) = -63 + (-7x)
→ Remember (-)(-) = (+) and (-)(+) = (-)
∴ -4x + 3 = -63 - 7x
→ Add 7x to both sides
∴ -4x + 7x + 3 = -63 - 7x + 7x
∴ 3x + 3 = -63
→ Subtract 3 from both sides
∵ 3x + 3 - 3 = -63 - 3
∴ 3x = -66
→ Divide both sides by 3
∴ x = -22
∴ The solution is -22
When factoring 16x2 -
36, what is the first step?
A. It is a perfect square trinomial, so find the square root of the first and
last term.
B. It is a difference of squares so find the square roots for the first and last
term.
C. Find the greatest common factor (GCF).
D. The expression is prime it cannot be factored.
Answer:
we conclude that the first step is to find the greatest common factor (GCF).
Hence, option C is correct.
Step-by-step explanation:
[tex]16x^2\:-36[/tex]
As 4 is the greatest common factor of the expression, so factor out common term 4:
i.e.
[tex]16x^2\:-36=4\left(4x^2-9\right)[/tex]
Thus, the first step is to find the greatest common factor (GCF)
Now, solving the remaining portion
[tex]16x^2\:-36=4\left(4x^2-9\right)[/tex]
as (2x+3) and (2x-3) are the factors of (4x²-9)
i.e. (4x²-9) = (2x+3) (2x-3)
Thus, the expression becomes
[tex]16x^2\:-36=4\left(2x+3\right)\left(2x-3\right)[/tex]
Therefore, we conclude that the first step is to find the greatest common factor (GCF).
Hence, option C is correct.
HELP ASAP!! WILL MARK BRAINLIST!!!!!!!
Derek Jeter, the short stop for the New York Yankees, a major league baseball team, played in 159 games in 2012 and hit 15 home runs. If he plays a total of 1272 games in his career, approximately how many home runs will he hit?
[A] Write a proportion that is defined by this situation.
[B] Explain how the cross product is used to solve the problem.
[C] Answer the question.
Answer:
120 home runs.
Step-by-step explanation:
Let x be the number of home runs after playing 1272 games.
We have been given that Derek Jeter, the short stop for the New York Yankees, a major league baseball team, played in 159 games in 2012 and hit 15 home runs.
Let us find the probability of hitting home runs in next game.
To find the total number of home runs Derek will hit in his career, we will use relative probability, which is the ratio of the occurrence of a singular event and the total number of outcomes.
So we can set a proportion as:
Let us multiply both sides of our equation by 1272.
Therefore, Derek Jeter will hit approximately 120 home runs in his career.
In his career, Derek Jeter will probably hit 120 home runs.
What is a proportion?A proportion is an equation that sets two ratios at the same value.
Let x be the number of home runs after playing 1272 games.
And given, Derek Jeter hits 15 home runs in 159 games.
To find the number of home runs he hit in 1272 games,
x = 1272 x 15 / 159
x = 120
And to find the proportion:
15x = 120
x = 120/15
x = 8
We can calculate the Cross Product this way:
cross product with angle and unit vector
a × b = |a| |b| sin(θ) n
Therefore, Derek Jeter will hit approximately 120 home runs in his career.
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Pedals of Petals, a bike manufacturer that makes flower-themed bikes, has a fixed cost of $100,000 due to the equipment necessary to make the bicycles. Additionally, each bike costs $100 in labor and materials to make. If each bike sells for $300, how many bikes must be sold in order for the company to break even?
Answer:
Break-even point in units= 500
Step-by-step explanation:
Giving the following information:
Fixed costs= $100,000
Unitary variable cost= $100
Selling price per unit= $300
To calculate the break-even point in units, we need to use the following formula:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 100,000 / (300 - 100)
Break-even point in units= 500
Ok the question is on here now... The first person who answers it correct gets brainliest...
2 is a prime number and a integer
24 is a whole number and an integer
1 is an integer and a whole number
0 is a rational, whole, integer and real number
and seven is a whole and integer
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation. (4,-3); y=-5x+8
Answer:
Step-by-step explanation:
The slope of the line is m = -5
4 is your x1
-3 is your y1
Plug into the equation y - y1 = m(x - x1)
y + 3 = -5(x - 4)
y + 3 = -5x + 20
-3 -3
y = -5x + 17
4.5
T- &x ZA
Write a sentence to compare the two points shown on the number line,
-2.7
0
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Explanation:
The point -2.7 is 2.7 units to the left of the point 0 on the number line.
The amounts of food waste generated in a region during two years were 37,500,000 tons and 30,400,000 tons. What was the total food waste generated over these two years in the region, expressed in scientific notation?
A. 67.9 ⋅ 1014 tons
B. 6.79 ⋅ 107 tons
C. 67.9 ⋅ 107 tons
D. 6.79 ⋅ 1014 tons
Answer:
6.79 ⋅ 107
Step-by-step explanation:
Chris wrote an equation and the first step of his solution process, as shown.
6 = 12 − 6x
-6 = -6x
Which math operation did Chris apply in his first step?
A) He divided 16 by 4.
B) He added 12 to each side of the equation.
C) He divided each side of the equation by 4.
D) He subtracted 12 from each side of the equation.
Please help me
a circle has a mass of 3 grams and a square has a mass of 2 grams. which is the mass of a triangle?
a. 9/5 grams
b. 7/5 grams
c. 3 grams
d. 11 grams
can someone help asap! i would really appreciate it!
6 (6 + 7) = show work
Answer:
78
Step-by-step explanation:
6 (6+7) =
36 + 42 =
78
6x(6+7)
6x13
78
Hope this helped
Please help the question is in the photo
Answer:
SSS or SAS
Step-by-step explanation:
7.5- x = 2.8
x= 4.7
x= 5.3
x= 5.7
x= 10.3
Answer:
10.3
Step-by-step explanation:
7.5+2.8=10.3
You reverse the equation. :)
What is the value of f(4)?
f(4)=_______
What is 5/9 divided by 1/2 rewritten with an improper fraction
The division expression 5/9 divided by 1/2, when rewritten as an improper fraction, is 10/9.
Given that the expression 5/9 divided by 1/2.
To rewrite the division expression 5/9 divided by 1/2 as an improper fraction, and perform the division operation and express the result in the form of a single fraction.
To divide fractions, multiply the first fraction by the reciprocal of the second fraction. In this case, multiply 5/9 by the reciprocal of 1/2.
Reciprocal of 1/2 = 2/1
So, the division expression can be rewritten as:
5/9 ÷ 1/2 = 5/9 x 2/1
Multiplying the fractions:
(5 x 2) / (9 x 1) = 10/9
An improper fraction is one where the numerator is equal to or greater than the denominator. In this case, 10/9 is an improper fraction because the numerator (10) is greater than the denominator (9).
Therefore, the division expression 5/9 divided by 1/2, when rewritten as an improper fraction, is 10/9.
Learn more about fractions and division click here:
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How can you write the number 1 as a power with base 2? a power with base 10?
plz i really need help it would mean alot
Answer:
2^1 ? 10^x
Step-by-step explanation:
1 can be written as a power with base 2 as [tex]2^0[/tex].
1 can be written as a power with base 10 as [tex]10^0[/tex].
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To write the number 1 as a power with base 2,
We can use the following formula:
[tex]2^0[/tex] = 1
Therefore,
1 can be written as [tex]2^0[/tex].
To write the number 1 as a power with base 10, we can use the following formula:
[tex]10^0[/tex] = 1
Therefore,
1 can be written as [tex]10^0[/tex].
Thus,
1 can be written as a power with base 2 as [tex]2^0[/tex].
1 can be written as a power with base 10 as [tex]10^0[/tex].
Learn more about expressions here:
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please help me due in 10 min please help
The corner store sells pears at a rate of $2.50 per pear. If Fiona has $15.00 dollars, how many pears can Fiona buy?
Answer:6
Step-by-step explanation:
If you divide 15 by 2.50 or 2.5 you get 6 and Fiona can get 6 pears with 15 dollars
1. Round each length to the nearest inch.
a) [tex]1 \frac{1}{4} [/tex] ____"
b) [tex] \frac{7}{8} [/tex] ____"
c) [tex]1 \frac{1}{2} [/tex] ____"
d) [tex]2\frac{5}{8} [/tex] ___"
e) [tex]1\frac{5}{16} [/tex] ___"
f) [tex]4\frac{11}{16} [/tex] ___"
2. Round each length to the nearest foot.
a) 10" _____'
b) 2'9" ____'
c) 2'6" ____'
d)2'9" ____'
e)1'2" ____'
f)9'3" ____'
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Answer:
1. 1, 1, 2, 3, 1, 5
2. 1, 3, 3, 3, 1, 9
Step-by-step explanation:
1. Any fraction of an inch that is 1/2" or more will cause the integer value to increase by 1. Otherwise, the integer value is the one you want. Of course ...
1/2" = 2/4" = 4/8" = 8/16"
a) 1"
b) 1"
c) 2"
d) 3"
e) 1"
f) 5"
__
2. Any inch measure that is 6" or more will cause the integer value to increase by 1. Otherwise, the integer value is the one you want.
a) 1'
b) 3'
c) 3'
d) 3' . . . same as B
e) 1'
f) 9'
Is the following table proportional or non-proportional?
Answer:
non-proportional because it doesn't start at the origin
Answer:
yes it is
Step-by-step explanation:
the X column is going up by 1 and the Y column is going down by 2
i just want to tell everyone their doing great
A=1/2w(b+c) solve for c
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Answer:
c = 2A/w -b
Step-by-step explanation:
Multiply by the inverse of the coefficient of the parentheses.
[tex]A=\dfrac{w}{2}(b+c)\\\\\dfrac{2A}{w}=b+c\\\\\boxed{c=\dfrac{2A}{w}-b} \qquad\text{subtract $b$}[/tex]
CAN I HAVE HELP!!!!!!!!!!!
Mrs. Holcomb has joined Weight Watchers. She would like to lose 12 kg in 30 days. On the average, how many pounds per day will Mrs. Holcomb need to lose to meet her goal? (2.2lbs. = 1 kg)Immersive Reader
Options are below
0.44 lbs.
0.88 lbs.
1.1 lbs.
2.5 lbs.
Answer: 0.88 lbs.
Step-by-step explanation:
12/30 = 0.4 (she needs to lose 0.4 kg everyday)
0.4 x 2.2 = 0.88 lbs
HELP ANSWER X FOR THIS ISOSCELES TRIANGLE THANK YOU
Answer:
Step-by-step explanation:
Remark
The point about the question is that the two sides are marked as equal.
Equation
3x + 5 = 5x + 1 Subtract 3x from both sides
Solution
3x - 3x + 5 = 5x - 3x + 1 Combine like terms
5 = 2x + 1 Subtract 1 from each side
5-1 = 2x +1 - 1 Combine
4 = 2x Divide by 2
4/2 = 2x/2
x = 2
The volume of a cube is given by s9 and the total surface area of a cube is given by 632, where s is the side length of the cube.
If the side length of a cube is 5 inches, the volume of the cube is [ ]
cubic inches and its total surface area is[ ]
square inches
BROO HELP ME FAST
Answer:
Surface area of a cube = side * side * 6
632 = side * side * 6
side^2 = 632/6
side^2 = 105.3333333333
side = 10.2632028789
********************************************
For a 5 inch side
volume = 5 * 5 * 5
= 125 cubic inches
surface area = 5 * 5 * 6
surface area = 150 square inches
Step-by-step explanation:
HELP
Which statements are always true regarding the
diagram? Select three options.
Omz5 + mz3 = mz4
Omz3 + mz4 + mz5 = 180°
Dmz5 + mz6 =180°
Dm2 + mz3 = mz6
Omz2 + mz3 + mz5 = 180°
Answer:
Step-by-step explanation:
m∠5 +m∠6 = 180° ( the angles form a line)
m∠2 + m∠3 = m∠6 ( exterior angle is the sum of 2 not adjacent angles)
m∠2+m∠3+m∠5= 180° (sum of angles in a triangle is 180°)
Rewrite the expression with a rational exponent as a radical expression.
Answer:
Rewriting the expression [tex](3^\frac{2}{3})^\frac{1}{6}[/tex] with a rational exponent as a radical expression we get [tex]\mathbf{\sqrt[9]{3} }[/tex]
Step-by-step explanation:
We need to rewrite the expression [tex](3^\frac{2}{3})^\frac{1}{6}[/tex] with a rational exponent as a radical expression.
The expression given is:
[tex](3^\frac{2}{3})^\frac{1}{6}[/tex]
First we will simply the expression using exponent rule [tex](a^m)^n=a^{mn}[/tex]
[tex](3^\frac{2}{3})^\frac{1}{6}\\=(3^\frac{2}{18})[/tex]
As we know 2 and 18 are both divisible by 2, we can write
[tex]=(3^\frac{1}{9})[/tex]
Now we know that [tex]a^\frac{1}{9}=\sqrt[9]{a}[/tex]
Using this we get
[tex]=\sqrt[9]{3}[/tex]
So, rewriting the expression [tex](3^\frac{2}{3})^\frac{1}{6}[/tex] with a rational exponent as a radical expression we get [tex]\mathbf{\sqrt[9]{3} }[/tex]
Find the inverse of function f
Answer:
ummm ive never saw this math in my life before lol
The equation y = 1.09x describes the approximate number of yards y in x meters. About how many meters is a 40 yard race?
Answer:
I have summoned the math demon
Step-by-step explanation:
they will show you
Timmy can text 24 words in 2/3 of a minute. How many words can he text per
minute?
Answer:
36 words
Step-by-step explanation:
24 = 40seconds
? =60s
60×24= 1440÷40
= 36